It is known that the classical ruin function under exponential claim-size distribution depends on two parameters, which are referred to as the mean claim size and the relative security loading. These parameters are assumed to be unknown and random, thus, a loss function that measures the loss...

This paper considers risks of the investment portfolio, which consist of distributed mortgages and sold European call options. It is assumed that the stream of the credit payments could fall by a jump. The time of the jump is modeled by the exponential distribution. We suggest that the returns...

Using daily observations of the index and stock market returns for the Peruvian case from January 3, 1990 to May 31, 2013, this paper models the distribution of daily loss probability, estimates maximum quantiles and tail probabilities of this distribution, and models the extremes through a...

We derive new tests for proper calibration of multivariate density forecasts based on Rosenblatt probability integral transforms. These tests have the advantage that they i) do not depend on the ordering of variables in the forecasting model, ii) are applicable to densities of arbitrary...

In this work we present a novel ensemble model for a credit scoring problem. The main idea of the approach is to incorporate separate beta binomial distributions for each of the classes to generate balanced datasets that are further used to construct base learners that constitute the final...

The beta distribution has traditionally been employed in the PERT methodology and generally used for modeling bounded continuous random variables based on expert’s judgment. The impossibility of estimating four parameters from the three values provided by the expert when the beta distribution...

Properties such as infinite divisibility, skew, excess kurtosis and suitable model the heavy-tailed distribution characteristic of real finance asset yield make the Normal-Laplace distribution a good candidate model in option pricing. However, a few constraints to Normal-Laplace parameter and...

Properties such as infinite divisibility, skew, excess kurtosis and suitable model the heavy-tailed distribution characteristic of real finance asset yield make the Normal-Laplace distribution a good candidate model in option pricing. However, a few constraints to Normal-Laplace parameter and...

We propose a general framework to unambiguously compare distributions functions in an economically interpretable way. Our framework provides complete ranking of any set of distributions and money metric interpretation of the social welfare level of a dominating distribution as compared to a...